A Course in Calculus and Real Analysis

A Course in Calculus and Real Analysis

Written by: Sudhir R. Ghorpade

  • Publisher: Springer
  • Publish Date: 2018-11-16
  • ISBN-10: 9783030014001
  • ebook-a-course-in-calculus-and-real-analysis.pdf

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Book Summary

This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.

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